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首页> 外文期刊>Journal of Mathematical Sciences >ON THE CONSTRUCTION OF FORMAL GROUPS WITH A GIVEN DISTINGUISHED HOMOMORPHISM
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ON THE CONSTRUCTION OF FORMAL GROUPS WITH A GIVEN DISTINGUISHED HOMOMORPHISM

机译:具有给定同构性的形式群的构建

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摘要

It is known from the Lubin-Tate theory that a Lubin-Tate formal group can be constructed by its distinguished isogeny, and an arbitrary power series (with a few restrictions) can be taken as such an isogeny. A similar statement is also known for Honda formal groups. In the present article, a similar statement is proved in detail for p-typical formal groups in the so-called small ramification case. It is also proved that as a distinguished homomorphism, in general, one cannot take a polynomial.
机译:从鲁宾泰特理论知道,鲁宾泰特形式群可以通过其独特的同质性来构造,并且可以将任意幂级数(有一些限制)作为这样的同质性。本田正式车队也有类似的说法。在本文中,在所谓的“小分支”情况下,对p型形式群已详细证明了类似的陈述。还证明了,作为一种杰出的同态,通常不能采用多项式。

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